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Finding the Fourth Proportional to 1,431.72, 1,975.59 and 842.04

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Solution

The fourth proportional to 1,431.72, 1,975.59 and 842.04 is: 1,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.72 : 1,975.59 = 842.04 : x
  2. Step 2: Convert to fraction form
    1,431.72/1,975.59 = 842.04/x
  3. Step 3: Cross multiply
    1,431.72x = 1,975.59 × 842.04
  4. Step 4: Simplify right side
    1,431.72x = 1,663,525.80
  5. Step 5: Solve for x
    x = 1,663,525.80/1,431.72
  6. Step 6: Final answer
    x = 1,161.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.